Normal parts of certain operators

K. F. CLANCEY; C. R. PUTNAM

doi:10.2969/jmsj/02420198

K. F. CLANCEY, C. R. PUTNAM

Author information

JOURNAL FREE ACCESS

1972 Volume 24 Issue 2 Pages 198-203

DOI https://doi.org/10.2969/jmsj/02420198

Details

Published: 1972 Received: July 31, 1971 Available on J-STAGE: September 29, 2006 Accepted: - Advance online publication: - Revised: -
Correction information
Date of correction: September 29, 2006 Reason for correction: - Correction: AUTHOR Details: Wrong : K. F. CLANCEY¹⁾, C. R. PUTNAM¹⁾
Right : K. F. CLANCEY¹⁾, C. R. PUTNAM²⁾

Date of correction: September 29, 2006 Reason for correction: - Correction: AFFILIATION Details: Wrong :
1) University of Georgia Purdue University

Right :
1) University of Georgia
2) Purdue University

Date of correction: September 29, 2006 Reason for correction: - Correction: CITATION Details: Wrong : 1) K. F. Clancey, Examples of non-normal seminormal operators whose spectra are not spectral sets, Proc. Amer. Math. Soc., 24 (1970), 797-800.
2) K. F. Clancey and C. R. Putnam, The local spectral behavior of completely subnormal operators, Trans. Amer. Math. Soc., 163 (1972), 239-244.
3) K. F. Clancey and C. R. Putnam, The spectra of hyponormal integral operators, Comm. Math. Helv. (to appear).
4) T. W. Gamelin, Uniform Algebras, Prentice Hall, 1969.
5) A. D. Joshi, Hyponormal polynomials of monotone shifts, Thesis, Purdue University, 1971.
6) A. Lebow, On von Neumann's theory of spectral sets, J. Math. Anal. Appl., 7 (1963), 64-90.
7) S. Mergelyan, Uniform approximations to functions of a complex variable, Amer. Math. Soc. Trans., No. 10, 1954.
8) J. von Neumann, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr., 4 (1951), 258-281.
9) C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Zeits., 116 (1970), 323-330.
10) C. R. Putnam, The spectra of subnormal operators, Proc. Amer. Math. Soc., 28 (1971), 473-477.
11) C. R. Putnam, The spectra of completely hyponormal operators, Amer. J. Math., 93 (1971), 699-708.
12) F. Riesz and B. Sz.-Nagy, Functional Analysis, Frederick Ungar Pub. Co., New York, 1955.
13) J. G. Stampfli, Hyponormal operators and spectral density, Trans. Amer. Math. Soc., 117 (1965), 469-476.
14) J. G. Stampfli, Which weighted shifts are subnormal, Pacific J. Math., 17 (1966), 367-379.
15) L. Zalcman, Analytic capacity and rational approximation, Lecture Notes in Mathematics, no. 50, Springer, 1968.

Right : [1] K. F. Clancey, Examples of non-normal seminormal operators whose spectra are not spectral sets, Proc. Amer. Math. Soc., 24 (1970), 797-800.
[2] K. F. Clancey and C. R. Putnam, The local spectral behavior of completely subnormal operators, Trans. Amer. Math. Soc., 163 (1972), 239-244.
[3] K. F. Clancey and C. R. Putnam, The spectra of hyponormal integral operators, Comm. Math. Helv. (to appear).
[4] T. W. Gamelin, Uniform Algebras, Prentice Hall, 1969.
[5] A. D. Joshi, Hyponormal polynomials of monotone shifts, Thesis, Purdue University, 1971.
[6] A. Lebow, On von Neumann's theory of spectral sets, J. Math. Anal. Appl., 7 (1963), 64-90.
[7] S. Mergelyan, Uniform approximations to functions of a complex variable, Amer. Math. Soc. Trans., No. 10, 1954.
[8] J. von Neumann, Eine Spektraltheorie für allgemeine Operatoren eines unitären Raumes, Math. Nachr., 4 (1951), 258-281.
[9] C. R. Putnam, An inequality for the area of hyponormal spectra, Math. Zeits., 116 (1970), 323-330.
[10] C. R. Putnam, The spectra of subnormal operators, Proc. Amer. Math. Soc., 28 (1971), 473-477.
[11] C. R. Putnam, The spectra of completely hyponormal operators, Amer. J. Math., 93 (1971), 699-708.
[12] F. Riesz and B. Sz.-Nagy, Functional Analysis, Frederick Ungar Pub. Co., New York, 1955.
[13] J. G. Stampfli, Hyponormal operators and spectral density, Trans. Amer. Math. Soc., 117 (1965), 469-476.
[14] J. G. Stampfli, Which weighted shifts are subnormal, Pacific J. Math., 17 (1966), 367-379.
[15] L. Zalcman, Analytic capacity and rational approximation, Lecture Notes in Mathematics, no. 50, Springer, 1968.

Date of correction: September 29, 2006 Reason for correction: - Correction: PDF FILE Details: -

Corresponding author

Correction information

Register with J-STAGE for free!